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Finding the Third Proportional to 19.13 and 40.38

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Solution

The third proportional to 19.13 and 40.38 is: 85.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.13 : 40.38 = 40.38 : x
  2. Step 2: Convert to fraction form
    19.13/40.38 = 40.38/x
  3. Step 3: Cross multiply
    19.13x = 40.38 × 40.38
  4. Step 4: Simplify right side
    19.13x = 1,630.77
  5. Step 5: Solve for x
    x = 1,630.77/19.13
  6. Step 6: Final answer
    x = 85.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.